1332977781000 has 128 divisors (see below), whose sum is σ = 4162973592960. Its totient is φ = 355111776000.

The previous prime is 1332977780983. The next prime is 1332977781007. The reversal of 1332977781000 is 1877792331.

It is a super-2 number, since 2×1332977781000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1332977781007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2845407 + ... + 3280593.

It is an arithmetic number, because the mean of its divisors is an integer number (32523231195).

Almost surely, 2^{1332977781000} is an apocalyptic number.

1332977781000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332977781000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081486796480).

1332977781000 is an abundant number, since it is smaller than the sum of its proper divisors (2829995811960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1332977781000 is a wasteful number, since it uses less digits than its factorization.

1332977781000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436232 (or 436218 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 1332977781000 in words is "one trillion, three hundred thirty-two billion, nine hundred seventy-seven million, seven hundred eighty-one thousand".